CAJ | 학술논문

在缩短阵列码的基础上运用中国剩余定理( CRT)和贪婪算法提出了一种新颖的大围长、码长更加灵活的QC-LDPC构造方法,且所构造的码字的校验矩阵采用楼梯矩阵循环置换而成。与传统CRT构造方法相比,只需已知一个分量码———缩短阵列码,同时新构造QC-LDPC码码长与码率选择比较灵活,围长更大,如果围长一样,则使最短环数量尽可能地少。仿真分析表明：在误码率为10-6时,在相同码率和码长的条件下,利用所提出的构造方法所构造的girth-8(4,k)QC-LDPC码在加性高斯白噪声(AWGN)和瑞利衰落信道中分别与缩短阵列码相比可获得约1.2 dB和2.0 dB的净编码增益,与CRT码相比分别改善了0.3 dB和0.7 dB的净编码增益,且性能与Gallager随机码性能相似但编码复杂度大大降低。
재축단진렬마적기출상운용중국잉여정리( CRT)화탐람산법제출료일충신영적대위장、마장경가령활적QC-LDPC구조방법,차소구조적마자적교험구진채용루제구진순배치환이성。여전통CRT구조방법상비,지수이지일개분량마———축단진렬마,동시신구조QC-LDPC마마장여마솔선택비교령활,위장경대,여과위장일양,칙사최단배수량진가능지소。방진분석표명：재오마솔위10-6시,재상동마솔화마장적조건하,이용소제출적구조방법소구조적girth-8(4,k)QC-LDPC마재가성고사백조성(AWGN)화서리쇠락신도중분별여축단진렬마상비가획득약1.2 dB화2.0 dB적정편마증익,여CRT마상비분별개선료0.3 dB화0.7 dB적정편마증익,차성능여Gallager수궤마성능상사단편마복잡도대대강저。
A new method is proposed to construct a large girth and flexible length QC-LDPC codes by Chi-nese Remainder Theorem( CRT) and greedy algorithm. And the check matrix of the proposed codes is com-posed of the cyclical permutation based on staircase matrix. Compared with traditional CRT method,it only need know a component code-shortened array code, meanwhile, the proposed codes have flexible code lengths and rates with larger girth. If its girth is the same as that via traditional CRT method,it can make the shortest cycle numbers as less as possible. When the BER is 10-6 in AWGN and Rayleigh fading chan-nel,simulation results show that the proposed girth-8(4,k) QC-LDPC codes with the same code length and rate has net coding gain(NCG) of about 1. 2 dB and 2dB over shortened array codes respectively,in addition,the NCG of the proposed codes is 0. 3 dB and 0. 7dB more than that of CRT codes separately,fur-thermore ,the proposed codes have similar performance with Gallager random codes but encoding complexity is reduced greatly.